New Exact Solutions of the Drinfeld-Sokolov System by the Generalized Unified Method

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Journal of New Theory
Issue:44
New Exact Solutions of the Drinfeld-Sokolov System by the Generalized Unified Method

New Exact Solutions of the Drinfeld-Sokolov System by the Generalized Unified Method

Pages : 10-19

View : 80 | Download : 40

Publication Date : 2023-09-30

Article Type : Research Paper

Abstract :In this study, we apply the generalized unified method insert ignore into journalissuearticles values(GUM);, an enhanced version of the unified method, to find novel exact solutions of the Drinfeld-Sokolov System insert ignore into journalissuearticles values(DSS); that models the dispersive water waves in fluid dynamics. Moreover, 3D and 2D graphs of some of the obtained exact solutions are plotted to present how various characteristic forms they have. The results show that the presented method simplifies the computation process on the computer in a highly reliable and straightforward manner while providing the solutions in more general forms. In addition, the GUM has great potential to apply to a wide range of problems, including nonlinear partial differential equations insert ignore into journalissuearticles values(NPDEs); and fractional partial differential equations insert ignore into journalissuearticles values(FPDEs); for finding exact solutions.
Keywords : Drinfeld Sokolov system, unified method, generalized unified method, exact solution, traveling wave solutions

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